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- W2330712182 abstract "Let G be an additive group with nonempty subsets S and T . Let S ± T = { s ± t ; s ∊ S, t ∊ T }, let S be the set complement of S in G , and let | S | be the cardinality of S . We abbreviate { f } where f ∊ G to f . If S + S and S have no element in common, then we say that S is a sum-free set in G or that S is sum-free in G . If S is a sum-free set in G and if for every sum-free set T in G , | S | ≧ | T |, then S is said to be a maximal sum-free set in G . We denote by λ(G) the cardinality of a maximal sum-free set in G . We say that S is in arithmetic progression having difference d if S = { s , s + d, …, s + nd } for some s, d ∊ G and some integer n ≧ 0." @default.
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- W2330712182 date "1970-12-01" @default.
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- W2330712182 title "Some Addition Theorems of Group Theory with Applications to Graph Theory" @default.
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